Elsevier

Nuclear Physics A

Volume 292, Issue 3, 5 December 1977, Pages 350-374
Nuclear Physics A

Coulomb-nuclear interference with pions

https://doi.org/10.1016/0375-9474(77)90624-8Get rights and content

Abstract

We propose that Coulomb-nuclear interference experiments be analyzed directly in terms of fN(θ), where fN(θ) is defined as the difference between the complete elastic scattering amplitude and the Coulomb amplitude. The advantages are : (i) this analysis works even for heavy nuclei and (ii) the results do not depend on models of the strong interaction. Once fN is known it is possible to extract the purely strong amplitude fS(θ) using an analysis with the Bethe phase φB. We point out some mistakes that have been commonly made in applying the West-Yennie theory for φB. For N = Z nuclei we show how fS and φB may be determined directly from the data without a detailed theory of φB; applying these ideas to the 16O data of Mutchler et al., we find a substantially different result : namely that Re fS(0) = 0 at 178 ± 4 MeV, a shift of 16 MeV from the previously published number. The φB that we extract from the data is in reasonable agreement with the West-Yennie prediction. We also make calculations to assess the validity of the West-Yennie formula for φB within the framework of the optical model ; ReφB is in substantial agreement for 40Ca for incident pion energies T > 100 MeV, but Im φ has less accuracy than one would like.

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Work performed under the auspices of the US Energy Research and Development Administration.

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